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Finding the Third Proportional to 231,786 and 358,706.25

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Solution

The third proportional to 231,786 and 358,706.25 is: 555,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,786 : 358,706.25 = 358,706.25 : x
  2. Step 2: Convert to fraction form
    231,786/358,706.25 = 358,706.25/x
  3. Step 3: Cross multiply
    231,786x = 358,706.25 × 358,706.25
  4. Step 4: Simplify right side
    231,786x = 128,670,173,789.06
  5. Step 5: Solve for x
    x = 128,670,173,789.06/231,786
  6. Step 6: Final answer
    x = 555,124.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.